On Tetravalent Vertex-Transitive Bi-Circulants

Sha Qiao () and Jin-Xin Zhou ()
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Sha Qiao: Beijing Jiaotong University
Jin-Xin Zhou: Beijing Jiaotong University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 1, 277-288

Abstract: Abstract A graph Γ is called a bi-circulant if it admits a cyclic group as a group of automorphisms acting semiregularly on the vertices of Γ with two orbits. The characterization of tetravalent edgetransitive bi-circulants was given in several recent papers. In this paper, a classification is given of connected tetravalent vertex-transitive bi-circulants of order twice an odd integer.

Keywords: Bi-Cayley graph; vertex-transitive graph; Cayley graph; 05C25; 20B25 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0400-1

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